Weak Hopf monoids in braided monoidal categories

Craig Pastro; Ross Street

doi:10.2140/ant.2009.3.149

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Home > Journals > Algebra Number Theory > Volume 3 > Issue 2 > Article

2009 Weak Hopf monoids in braided monoidal categories

Craig Pastro, Ross Street

Algebra Number Theory 3(2): 149-207 (2009). DOI: 10.2140/ant.2009.3.149

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Abstract

We develop the theory of weak bimonoids in braided monoidal categories and show that they are in one-to-one correspondence with quantum categories with a separable Frobenius object-of-objects. Weak Hopf monoids are shown to be quantum groupoids. Each separable Frobenius monoid $R$ leads to a weak Hopf monoid $R \otimes R$ .

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Craig Pastro. Ross Street. "Weak Hopf monoids in braided monoidal categories." Algebra Number Theory 3 (2) 149 - 207, 2009. https://doi.org/10.2140/ant.2009.3.149